(5r+9)(r-7)=-(41r-287)

Simple and best practice solution for (5r+9)(r-7)=-(41r-287) equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for (5r+9)(r-7)=-(41r-287) equation: 


Simplifying
(5r + 9)(r + -7) = -1(41r + -287)

Reorder the terms:
(9 + 5r)(r + -7) = -1(41r + -287)

Reorder the terms:
(9 + 5r)(-7 + r) = -1(41r + -287)

Multiply (9 + 5r) * (-7 + r)
(9(-7 + r) + 5r * (-7 + r)) = -1(41r + -287)
((-7 * 9 + r * 9) + 5r * (-7 + r)) = -1(41r + -287)
((-63 + 9r) + 5r * (-7 + r)) = -1(41r + -287)
(-63 + 9r + (-7 * 5r + r * 5r)) = -1(41r + -287)
(-63 + 9r + (-35r + 5r2)) = -1(41r + -287)

Combine like terms: 9r + -35r = -26r
(-63 + -26r + 5r2) = -1(41r + -287)

Reorder the terms:
-63 + -26r + 5r2 = -1(-287 + 41r)
-63 + -26r + 5r2 = (-287 * -1 + 41r * -1)
-63 + -26r + 5r2 = (287 + -41r)

Solving
-63 + -26r + 5r2 = 287 + -41r

Solving for variable 'r'.

Reorder the terms:
-63 + -287 + -26r + 41r + 5r2 = 287 + -41r + -287 + 41r

Combine like terms: -63 + -287 = -350
-350 + -26r + 41r + 5r2 = 287 + -41r + -287 + 41r

Combine like terms: -26r + 41r = 15r
-350 + 15r + 5r2 = 287 + -41r + -287 + 41r

Reorder the terms:
-350 + 15r + 5r2 = 287 + -287 + -41r + 41r

Combine like terms: 287 + -287 = 0
-350 + 15r + 5r2 = 0 + -41r + 41r
-350 + 15r + 5r2 = -41r + 41r

Combine like terms: -41r + 41r = 0
-350 + 15r + 5r2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-70 + 3r + r2) = 0

Factor a trinomial.
5((-10 + -1r)(7 + -1r)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-10 + -1r)' equal to zero and attempt to solve:

Simplifying
-10 + -1r = 0

Solving
-10 + -1r = 0

Move all terms containing r to the left, all other terms to the right.

Add '10' to each side of the equation.
-10 + 10 + -1r = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1r = 0 + 10
-1r = 0 + 10

Combine like terms: 0 + 10 = 10
-1r = 10

Divide each side by '-1'.
r = -10

Simplifying
r = -10

Subproblem 2
Set the factor '(7 + -1r)' equal to zero and attempt to solve:

Simplifying
7 + -1r = 0

Solving
7 + -1r = 0

Move all terms containing r to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + -1r = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1r = 0 + -7
-1r = 0 + -7

Combine like terms: 0 + -7 = -7
-1r = -7

Divide each side by '-1'.
r = 7

Simplifying
r = 7
Solution
r = {-10, 7}

See similar equations:

| 3(x-1)+13=-5 | | (176-(5x+35x))+(5x+35x)=176 | | 51.2/3 | | v^2+64= | | (176-(5x+35x))=10(176-(5x+35x)) | | 10q-4-4q=16 | | 7x^2-53x-21= | | -6n^2+7n+12=0 | | 0.9x-0.7x+0.3x=4 | | 18=-3(x-6) | | 19q-4-4q=-16 | | (38-(5x+35x))=10(38-(5x+35x)) | | 2l-7l=15 | | n^2+7n-72=0 | | 12a-6a= | | 5/7K=30 | | (2x+3)(x+4)(x-1)(x+3)=0 | | L/18=-10 | | 7(x-14)=-42 | | K/18--18 | | 4x-1-2x+2=3x-4x+-2 | | Kevin/18=-10 | | 20m^2-40=0 | | 1/3V=-6 | | 6/(k-2)=10 | | (38-(5x+35x))+(5x+35x)=38 | | ((5x^3)-(x)+(3))+((x^3)-(9x^2)+(4x))= | | (x+10)(x-4)=-24 | | 5*p+7-5*p-(-7*(p-3))= | | 3dx/dt-4x=sin2t | | ((5x+35x)-38)+(5x+35x)=38 | | -12x+8=-7x-2 |

Equations solver categories